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Jun 9, 2010 at 13:46 comment added Steven Gubkin This answer is the same as Anton's, just with more machinery under the hood. In particular if you spell out what a delta functor is, what it means for one to be universal, and why injective resolutions give you one, you will have Anton's answer.
Oct 19, 2009 at 11:45 comment added user717 Not a stupid question! I have edited my above post.
Oct 19, 2009 at 11:45 history edited user717 CC BY-SA 2.5
added 1216 characters in body; added 1 characters in body
Oct 19, 2009 at 9:25 comment added user709 Sorry if this question sounds stupid, but why is universal object good/special? In some very concrete cases, like free groups or tensor products, it is very clear to me why the universal properties in those cases are of interest. However in the situation of delta functors, I don't even know why we should care about the universal property of unique extension of degree 0 morphism.
Oct 19, 2009 at 8:44 history answered user717 CC BY-SA 2.5